True or False? The incenter of a triangle is the center of the only circle that can...
Check the final answer first, then review the worked steps.
Problem
True or False? The incenter of a triangle is the center of the only circle that can be inscribed in it.
Step-by-step solution
The incenter of a triangle is the intersection of the angle bisectors, and it is equidistant from the sides of the triangle. This point is the center of the inscribed circle (incircle).
Answer
True